Method of Statistical Processing of Discrete Cycle Random Processes, by their Reduction to Isomorphic Periodic Random Sequences

Abstract

The method of statistical processing of cyclic random processes by reducing them to isomorphic periodic random sequences, which significantly simplifies analytical expressions and formulas for calculations, and also reduces the computational complexity of the tasks of statistical processing and computer simulation of cyclical signals in intelligent information systems in medicine, technology and economics, which is especially important for their implementation in portable systems with significantly limited computing capacity is developed in the paper. The example of statistical evaluation of the initial moment function of the first order of cyclic random process of discrete argument using the existing method, and also with the use of the new method of statistical evaluation, based on the procedure of reducing the investigated cyclic random process to isomorphic periodic random sequence, which statistical processing methods are characterized by much less calculations complexity.